Internal problem ID [3544]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 10
Problem number: 288.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {\left (-x^{2}+1\right ) y^{\prime }+2 y x=0} \]
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 13
dsolve((-x^2+1)*diff(y(x),x)+2*x*y(x) = 0,y(x), singsol=all)
\[ y \left (x \right ) = c_{1} x^{2}-c_{1} \]
✓ Solution by Mathematica
Time used: 0.029 (sec). Leaf size: 18
DSolve[(1-x^2)y'[x]+2 x y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to c_1 \left (x^2-1\right ) y(x)\to 0 \end{align*}